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Finding the Third Proportional to 9,984 and 12,936

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Solution

The third proportional to 9,984 and 12,936 is: 16,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 12,936 = 12,936 : x
  2. Step 2: Convert to fraction form
    9,984/12,936 = 12,936/x
  3. Step 3: Cross multiply
    9,984x = 12,936 × 12,936
  4. Step 4: Simplify right side
    9,984x = 167,340,096
  5. Step 5: Solve for x
    x = 167,340,096/9,984
  6. Step 6: Final answer
    x = 16,760.83

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.